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7677100068 = 22311220892531
BaseRepresentation
bin1110010011001011…
…10100000000100100
3201211000211002110120
413021211310000210
5111210314200233
63305442521540
7361150162641
oct71145640044
921730732416
107677100068
11328a582a00
1215a30662b0
13954687c81
1452b852dc8
152edeb64b3
hex1c9974024

7677100068 has 72 divisors (see below), whose sum is σ = 19706961120. Its totient is φ = 2324361600.

The previous prime is 7677100049. The next prime is 7677100117. The reversal of 7677100068 is 8600017767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031963 + ... + 3034493.

Almost surely, 27677100068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7677100068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9853480560).

7677100068 is an abundant number, since it is smaller than the sum of its proper divisors (12029861052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7677100068 is a wasteful number, since it uses less digits than its factorization.

7677100068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7677100068 is about 87619.0622410443. The cubic root of 7677100068 is about 1972.7213001703.

The spelling of 7677100068 in words is "seven billion, six hundred seventy-seven million, one hundred thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 2089 2531 4178 5062 6267 7593 8356 10124 12534 15186 22979 25068 27841 30372 45958 55682 68937 83523 91916 111364 137874 167046 252769 275748 306251 334092 505538 612502 758307 918753 1011076 1225004 1516614 1837506 3033228 3675012 5287259 10574518 15861777 21149036 31723554 58159849 63447108 116319698 174479547 232639396 348959094 639758339 697918188 1279516678 1919275017 2559033356 3838550034 7677100068